Home
Class 7
MATHS
In a triangle PQR, the side QR is extend...

In a triangle PQR, the side QR is extended to S to form the exteiror angle PRS of measure `120^(@)`. If the sides PQ and PR are equal, then prove that the triangle PQR is an equilateral triangle.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • THE TRIANGLE AND ITS PROPERTIES

    ICSE|Exercise EXERCISE 12.3|12 Videos

  • THE TRIANGLE AND ITS PROPERTIES

    ICSE|Exercise CHALLENGE|1 Videos

  • THE TRIANGLE AND ITS PROPERTIES

    ICSE|Exercise EXERCISE 12.1|7 Videos

  • SYMMETRY

    ICSE|Exercise Exercise 19B|13 Videos

  • UNITARY METHOD

    ICSE|Exercise EXERCISE|16 Videos

Similar Questions

Explore conceptually related problems

In the given triangle P, Q and R are the mid points of sides AB, BC and AC respectively. Prove that triangle PQR is similar to triangle ABC.

The sides PQ, PR of triangle PQR are equal, and S, T are points on PR, PQ such that angle PSQ and anglePTR are right angles Prove that the triangles PTR and PSQ are congruent.

If S is the mid-point of side QR of a DeltaPQR , then prove that PQ+PR=2PS .

In an isosceles triangle, prove that the angles opposite to equal sides are equal.

If side(a)=4 then area of the equilateral triangle DeltaABC is equal to

In a triangle PQR, QR = PR and angleP=36^(@) . Which is the largest side of the triangle ?

The sides PQ, PR of triangle PQR are equal, and S, T are points on PR, PQ such that angle PSQ and anglePTR are right angles If OS and RT intersect at M, prove that the triangles PTM and PSM are congruent.

The sides AB and BC and the median AD of triangle ABC are equal to the sides PQ and QR and the median PM of triangle PQR respectively. Prove that the triangles ABC and PQR are congruent.

In a triangle PQR, P is the largest angle and cos P = 1//3 . Further the incircle of the triangle touches the sides PQ. QR and PR at N, L and M, respectively, such that the length of PN, QL, and RM are consecutive even integers. Then possible length (s) of the side(s) of the triangle is (are)

In a triangle PQR, P is the largest angle and cosP=1/3 . Further the incircle of the triangle touches the sides PQ, QR and RP at N, L and M respectively, such that the lengths of PN, QL and RM are consecutive even integers. Then possible length(s) of the side(s) of the triangle is (are)